Question

What is the LCM of 14, 21 and 56?​

Answer 1

Answer:

1. Find the prime factors of 14

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Tree view of the prime factors of 14: 2 and 7

The prime factors of 14 are 2 and 7.

2. Find the prime factors of 21

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Tree view of the prime factors of 21: 3 and 7

The prime factors of 21 are 3 and 7.

3. Find the prime factors of 56

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Tree view of the prime factors of 56: 2, 2, 2 and 7

The prime factors of 56 are 2, 2, 2 and 7.

4. Build a prime factors table

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Determine the maximum number of times each prime factor (2, 3, 7) occurs in the factorization of the given numbers:

Prime factorNumber 14 21 56 Max. occurrence

2 1 0 3 3

3 0 1 0 1

7 1 1 1 1

The prime factors 3 and 7 occur one time, while 2 occurs more than once.

Answer 2

Answer:

The LCM of 14, 21 and 56 is 168